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Finding the Fourth Proportional to 313.26, 432.30 and 196.75

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Solution

The fourth proportional to 313.26, 432.30 and 196.75 is: 271.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.26 : 432.30 = 196.75 : x
  2. Step 2: Convert to fraction form
    313.26/432.30 = 196.75/x
  3. Step 3: Cross multiply
    313.26x = 432.30 × 196.75
  4. Step 4: Simplify right side
    313.26x = 85,055.03
  5. Step 5: Solve for x
    x = 85,055.03/313.26
  6. Step 6: Final answer
    x = 271.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.